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Theorem lf-valid-wl-free-emptyvidhdr
n < # wlar, n < # apebs ⊦ wlar[n] = wl-entry(m, free) ∧ valid-wl(apebs, wlar) ∧ ubi-io-inv(apebs) → apebs[n].vidhdr = empty ∧ apebs[n].echdr.valid? ∧ apebs[n].fill = 0
Type: A user defined theorem
Validity: The proof is valid.
Features: localforward,
Comment:
Used by:
inv-change
,
inv-create-volume
,
inv-wl-worker
,
prepost-atomic-leb-change
,
prepost-get-peb
,
prepost-write-once
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas:
ubi-io-inv-fwd
,
lf-valid-wl-not-erroneous
,
Used spec theorems:
ubi-base
/
valid-wl
ubi-io-inv
/
inv
ubi-io-inv
/
peb-inv
Used simplifier rules:
nat-basic
/
f
apeb
/
elim
nat
/
ls-le-simp
nat
/
lels
aecheader
/
test-02
wlentry
/
sel-05
wlstatus
/
disj-05
wlstatus
/
disj-01
wlstatus
/
disj-04
wlentry
/
sel-04
apeb
/
sel-06
apeb
/
sel-08
apeb
/
sel-04
aecheader
/
disj-03
aecheader
/
disj-02
apeb
/
sel-05
apeb
/
sel-07